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Finding the Third Proportional to 1,696,234 and 2,377,256

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Solution

The third proportional to 1,696,234 and 2,377,256 is: 3,331,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,234 : 2,377,256 = 2,377,256 : x
  2. Step 2: Convert to fraction form
    1,696,234/2,377,256 = 2,377,256/x
  3. Step 3: Cross multiply
    1,696,234x = 2,377,256 × 2,377,256
  4. Step 4: Simplify right side
    1,696,234x = 5,651,346,089,536
  5. Step 5: Solve for x
    x = 5,651,346,089,536/1,696,234
  6. Step 6: Final answer
    x = 3,331,701.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.